or, more commonly, entire sites would be unavailable for a day or two, because everyone ran their servers on insanely expensive and unreliable T1 (or even crappier leased line) connections that were also prone to getting cut. that's when the colo / datacenter / hosting business really took off, because imagine running something that makes you money and relying on your local shitbox CLEC telco to deliver it for you. untenable at best.
for example, i remember a guy who ran a small gaming server outfit on a set of 56k leased lines running out of his garage. if you ran a clan, you could pay him for low-latency practice space. that was considered a legitimate internet business, cutting edge and visionary, even. i think it was a side business, and took off when the industry matured a little more and he could actually deliver decent solutions at consumer prices.
aside from basic nostalgia, those were not the good ol days. in fact, it pretty much sucked. flakey hardware, buggy software, slow-as-shit networking, no wifi ... the struggle was real.
these days, everything that comes out blows your fucking mind at how fast, reliable, high quality, and cheap it is. imagine waiting years for an incremental improvement in bandwidth instead of ridiculous shit like google fiber replacing your good-enough 100 megabit cable ISP. it's much better now in absolute terms, no matter how much people complain. and i'm only in my early 30s, i got an early start, but to someone in their 50s it must be mind-bending how much progress has been made.
or of course, an ircop starting up a bad config.
1964 - Paul Baran published On Distributed Communications: Introduction to Distributed Communications Network, which discussed packet switching networks. It also outlined the concept of fault tolerance, or the fact that there is no one computer responsible for the entirety of the internet. If one computer fails, the internet continues. https://www.rand.org/content/dam/rand/pubs/research_memorand...
1968 - Lawrence Roberts and DARPA came to a final plan and set of specifications for ARPANET, and released a request for quotation, that BBN won, which was basically a contract to produce the routers. It should be noted that larger companies including ATT did not even bid on the contract, saying such a network was impossible.
1969 - Four nodes were added to ARAPANET, including UCLA, Stanford Research Institute, University of California at Santa Barbara, and the University of UTAH. It should be noted that the first connection, between UCLA and Stanford, caused the Stanford computer to crash after typing l and o of login
Not nearly as much connectivity back then, so maybe it doesn't count.